Algebraic Theory of Numbers

Delve into the intriguing world of number theory with Algebraic Theory of Numbers by Hermann Weyl, published by Princeton University Press in 1998. This comprehensive 240-page paperback offers a profound exploration of fundamental concepts in arithmetic, making it an essential read for advanced mathematics enthusiasts.

Weyl begins by laying down the definitions and properties of algebraic fields, providing a solid foundation for understanding the more complex theories that follow. The book uniquely approaches the theory of divisibility from an axiomatic perspective, moving beyond traditional ideals. Additionally, it introduces p-adic numbers, a crucial component in modern number theory, and discusses their practical applications.

Whether you are a student, researcher, or simply passionate about mathematics, this book is a valuable addition to your library, offering insights that bridge the gap between abstract algebra and number theory.